Find the derivative of the function by the limit process. g(x) = -398 g'(x)=

Q: if the limit at infinity exists find the limit lim(inf)=3x^3+5x/4x^4+10x^3+2

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Q: 1. | 37 2 T 2 cos² 4x dx

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: A company determines that its weekly online sales, S(t), in hundreds of dollars, t weeks after…

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Q: 7. Find the absolute maximum and absolute minimum values of f(x)=2x-322/3 on the interval (-1,2]).

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Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the…

A: The general equation of function of temperature is given by÷ D=asin[bt-c]+d Now we need all the…

Q: Find the absolute extrema for the given function on the interval [1.2, 3.7]. Write your answer in…

A: The given function is fx=5x4ln x on the interval [1.2, 3.7] we have to find its absolute extrema.

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

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Q: Find the maximum and minimum values of the function g(0) = 30 – 7 sin(0) on the interval ㅠ [0, 1]. 2…

A: I am attaching image so that you understand each and every step.

Q: 16 15 [ f(x) dx- - ["f - [ ₁³ f(x) dx = ["f 6 f(x) dx

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Q: dP dt 3) Separate the differential equation, then integrate both sides. Suppose and P(1) = 4. Answer…

A: NOTE: Refresh your page if you can't see any equations. . take integration on both sides

Q: Evaluate the following integral: 2x 3xy SS²*13 (2y)dzdydx x

A: A detailed solution is given below       We know that ∫xn dx =  xn+1n+1

Q: -4 Challenge #1 y = 2x 0 Adjust the equation so the exponential function passes through the points.

A: topic- exponential function

Q: 55. Find the area bounded by r = 4 sin 20 a. a. 4n square units b. 8n square units C d. 4 square…

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Q: -5 -4 -3 -2 -1 4 3 d₂ N -2 -3 A At the point shown on the function above, which of the following is…

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Q: 3 parts  A population of rabbits grows exponentially at a rate of 3.4 percent per year. The…

A: Topic- Exponential Population

Q: 72. The volume of a sphere is increasing at a rate of 40 cm3 per minute. Find the rate at which its…

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Q: Let R be the region in the plane bounded below by the parabola y = x² above by the line y = 2x. Then…

A: Use application of integral for finding the area of curve between two curves.

Q: Find an approximation of the area of the region R under the graph of the function f on the interval…

A: Given problem:- Find an approximation of the area of the region R under the graph of the function f…

Q: Our goal is to approximate the positive real number x that satisfies sin(x) = x³. We will apply…

A: Our goal is to approximate the positive real number x that satisfies sinx=x3We will apply Newton's…

Q: find area of abc triangle with given parts A=29.6 degrees b=10.7 in c=6.6in

A: Use sine law

Q: Directions: Find the inverse functions of the following one-to-one functions. Show the graph of each…

A: Given data:- The given one-to-one functions are, (1); fx=x+33 (2); fx=3x-4 (3); fx=2x+14x-1

Q: Determine the volume of the solid formed by revolving the area bounded by x² + y² =25 and x + y = 5…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: I have stated the used formula in the solution

Q: Apply the divergence test for the given series. ∞ n=1 - (n-4)² Select the answer that best fits the…

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Q: bernoulli dy dx + X = - 9.5 -xᵒy

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Q: Determine the limit of the given sequence: sin (159) an = If the limit does not exist, enter Ø. If…

A: Use limit

Q: Graph to the image below and find the volume of the area bounded by y = (x^2 - 4)^2 and the x-axis,…

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Q: At which of the marked values of x is A. f(x) greatest? x = B. f(x) least? x = c. f'(x) greatest? x…

A: Note:- According to company guideline we can do maximum 3 sub parts so i am solving here first 3

Q: 70. If A = (4i-3k) and B= (-i+j-2k). Find the vector product of A and B. a. (6i+8j+k) b. (-6i+8j+7k)…

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Q: Consider the function f(x) = 2√x+1 on the interval [4, 7]. Find the average or mean slope o the…

A: We will find the required.

Q: 30. A toy missile is fired straight up into the air having a height of h(t) = 45t-15f² metres after…

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Q: Find the nth term of a sequence whose first several terms are given. 11 17 23 29 4 9 16' 25' an = II…

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Q: Use the counting techniques. A bag contains three red marbles, three green ones, one fluorescent…

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Q: Find the curl of the vector field F. F(x, y, z) = (2y - z)i + e²j + xyzk

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Q: ow do you find the 70th derivative of f(x)=cos(x)

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Q: Problem 19. 78 ain Evaluate the definite integral. -5 √5x + 3 dx =

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Q: State the equation of a relation whose vertex would be lower than the origin and to the left of the…

A: We have to find the equation of the relation whose vertex is lower than the origin and left to the y…

Q: (1) f (1) x²(x³ +1)5 (x³ − 1)5 dx -

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Q: Use the Laplace transform to solve the following initial value problem: y" +9y= cos(6t) y(0) = 0,…

A: given y''+9y=cos(6t) taking laplace on both sides  L{ y''+9y}=L{cos(6t)} L{y''}+L{9y}=L{cos(6t)}…

Q: Draw the directional field for the differential equation. y' = y2 − 1   What can you say about the…

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Q: If the radius is 9 cm, and the central angle is 80 degrees. Find the following a) Arc length,s b)…

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Q: ) .  Consider a minimal threshold value for a species to survive, T. One way to add in this factor…

A: answer is in next step.

Q: n Use the comparison test to determine if the series n=1n²³+²+1 converges or diverges.

A: The given series is ∑n=1∞nn3+n+1 we have to find the series is converges or diverges, by using…

Q: Problem #3: Consider the following statements. (1) Σ n=0 (-1)" 2n+1 X² (2n + 1)! = X- ∞ (iii) The…

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Q: £f*. S: z = 18, x² + y² ≤ 1 Evaluate (x - 2y + z) ds.

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Q: g(x) = 3.22(x+1) — 4

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Q: The owner of an orange grove estimates that 150 orange trees per acre will each yield on average 800…

A: Given that the owner of an orange grove estimates that 150 orange treesper acre will each yield on…

Q: -ind the position and velocity of an object moving along a straight line with the given…

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Q: 2. π 2 1/² cott x dx 4

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Q: Use the Laplace transform to solve the following initial value problem: y" - 2y +26y=0 y(0) = 0,…

A: The given initial value problem is y''-2y'+26y=0, y(0)=0, y'(0)=5